岩土力学2017，Vol.38Issue(12)：3462-3468,7.DOI:10.16285/j.rsm.2017.12.009
准脆性材料断裂模拟方法研究
A method for simulating fracture in quasi-brittle materials
摘要
Abstract
Based on the cohesive crack model,a virtual node extended finite element method (XFEM) was developed to simulate the fracturing process of quasi-brittle materials,such as rock and concrete.Numerical principles and governing equations of this method were also proposed.Typical numerical examples were presented,including tension fracture of the three-point bending beam,Ⅰ-Ⅱ mixed mode fracture of a single edge notched specimen and fracture of multiple cracks in the Nooru-Mohammed experiment.Moreover,these results were compared with existing solutions or experimental results.It is found that this method is suitable to simulate fracturing process of quasi-brittle materials dominated by opening-mode cracks.Pre-assignment of crack-growth paths is not necessary for the proposed method,in comparison with the node-separation finite element method (FEM).Contrary to the plastic-damage FEM,this method also can reliably simulate the propagation of multiple cracks.Meanwhile,it is not necessary to introduce crack-tip elements and calculate stress intensity factors in comparison with the normal XFEM.Lastly,it is particularly applicable to the acquirement of convergent computational results by contrast with the XFEM with higher-order enriched elements.Moreover,the developed method can be easily embedded into conventional finite element software to solve complex problems by applying powerful nonlinear computational functions of the latter for its displacement description based on elements.关键词
扩展有限元法/虚节点/黏聚裂纹模型/准脆性材科/裂纹扩展Key words
extended finite element method (XFEM)/virtual node/cohesive crack model/quasi-brittle materials/crack propagation分类
建筑与水利引用本文复制引用
燕秀发,钱七虎,赵跃堂,周寅智..准脆性材料断裂模拟方法研究[J].岩土力学,2017,38(12):3462-3468,7.基金项目
中国博士后科学基金特别资助项目(No.201003768) （No.201003768）
国家自然科学基金创新研究群体科学基金(No.51321064) （No.51321064）
爆炸冲击防灾减灾国家重点试验室开放课题资助项目(No.DPMEIKF201308).This work was supported by the China Postdoctoral Science Foundation (201003768),the Foundation for Innovative Research Groups of the National Natural Science Foundation of China (51321064) and the Fund of the State Key Laboratory of Disaster Prevention & Mitigation of Explosion & Impact (Army Engineering University of PLA) (DPMEIKF201308). （No.DPMEIKF201308）
